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RE: tangents and their respective equations

• To: mathgroup at smc.vnet.net
• Subject: [mg31870] RE: [mg31846] tangents and their respective equations
• From: "David Park" <djmp at earthlink.net>
• Date: Sat, 8 Dec 2001 05:51:47 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

Manuel,

I don't think so. There are an infinity of different curves that can go
through a point and have the same tangent at that point. Just take a piece
of paper and start drawing and you will see that.

David Park
djmp at earthlink.net
http://home.earthlink.net/~djmp/

> From: Manuel Avalos [mailto:manuel at voicenet.com]
To: mathgroup at smc.vnet.net
>
> Hi everyone:
>
> I am trying to find the equation of a curve given its tangent and an
> arbitrary point. Is there a mathematica solution for this?
> For example: If I give you the tangent to a curve: -4+11x   at x =2,
> Is it possible to derive the equation of the curve  from that tangent?
> Thanks for whatever.
> Manuel
>